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text The curve  end text 16 x to the power of 2 end exponent plus 8 x y plus y to the power of 2 end exponent minus 74 x minus 78 y plus 212 equals 0 text  represents end text

  1. Parabola    
  2. Hyperbola    
  3. Hyperbola    
  4. None of these    

The correct answer is: Parabola


    text We know that  end text capital delta not equal to 0 comma h to the power of 2 end exponent equals a b text  . Therefore, it is a parabola. end text

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